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DCC
2006
IEEE
14 years 4 months ago
Trading Inversions for Multiplications in Elliptic Curve Cryptography
Recently, Eisentr?ager et al. proposed a very elegant method for speeding up scalar multiplication on elliptic curves. Their method relies on improved formulas for evaluating S = (...
Mathieu Ciet, Marc Joye, Kristin Lauter, Peter L. ...
ACISP
2007
Springer
13 years 9 months ago
Affine Precomputation with Sole Inversion in Elliptic Curve Cryptography
This paper presents a new approach to precompute all odd points [3]P, [5]P, . . . , [2k - 1]P, k 2 on an elliptic curve over Fp. Those points are required for the efficient evalua...
Erik Dahmen, Katsuyuki Okeya, Daniel Schepers
CARDIS
2000
Springer
124views Hardware» more  CARDIS 2000»
13 years 9 months ago
Elliptic Curve Cryptography on Smart Cards without Coprocessors
Abstract This contribution describes how an elliptic curve cryptosystem can be implemented on very low cost microprocessors with reasonable performance. We focus in this paper on t...
Adam D. Woodbury, Daniel V. Bailey, Christof Paar
CHES
2004
Springer
155views Cryptology» more  CHES 2004»
13 years 10 months ago
A Low-Cost ECC Coprocessor for Smartcards
Abstract. In this article we present a low-cost coprocessor for smartcards which supports all necessary mathematical operations for a fast calculation of the Elliptic Curve Digital...
Harald Aigner, Holger Bock, Markus Hütter, Jo...
EUROCRYPT
2009
Springer
14 years 5 months ago
Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves
Abstract. Efficiently computable homomorphisms allow elliptic curve point multiplication to be accelerated using the Gallant-Lambert-Vanstone (GLV) method. Iijima, Matsuo, Chao and...
Steven D. Galbraith, Xibin Lin, Michael Scott